BRST quantization of superstring field theory |
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| Affiliation: | 1. Joseph Henry Laboratories, Princeton University, Princeton, NH 08544, USA;2. INFN Sezione di Roma, Piazzale Aldo Moro 2, I-00185 Rome, Italy;1. School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, Scotland, UK;2. Mathematical Institute, University of Oxford, Oxford OX2 6GG, England, UK;3. Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, Scotland, UK;4. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106-4030, USA;1. Max–Planck–Institut für Physik, Werner–Heisenberg–Institut, 80805 München, Germany;2. Department of Physics Northeastern University, Boston, MA 02115, USA;1. Department of Mathematical Sciences, Tsinghua University, Beijing, PR China;2. Dipartimento di Matematica G. Peano, Università degli Studi di Torino, Torino, Italy;3. Department of Mathematics, University of California at Riverside, Riverside, CA 92521, USA |
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| Abstract: | We write the gauge fixed action which arises in the quantization of Witten's string field theory in a linear gauge, in a form which applies to both the superstring and the bosonic string. The corresponding BRST transformation is nilpotent only on-shell. We construct also an off-shell nilpotent BRST transformation which formally leaves invariant the quantum effective action. This BRST transformation has a geometrical interpretation which could allow to describe the gauge anomalies of the superstring field theory as the nontrivial cohomology of the BRST charge via the Wess-Zumino consistency condition. |
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